17 citations · 56 across the 32 of their papers we have counts for
23 papers · 1 filter
Poisson and Szegö kernel scaling asymptotics on Grauert tube boundaries (after Zelditch, Chang and Rabinowitz)
Roberto Paoletti
We review and elaborate on recent work of Chang and Rabinowitz on scaling asymptotics of Poisson and Szegö kernels on Grauert tubes, providing additional results that may be useful…
The symplectic structure of a toric conic transform
Roberto Paoletti
Suppose that a compact -dimensional torus acts in a holomorphic and Hamiltonian manner on polarized complex -dimensional projective manifold , with nowhere vanishing…
Szegö kernel equivariant asymptotics under Hamiltonian Lie group actions
Roberto Paoletti
Suppose that a compact and connected Lie group acts on a complex Hodge manifold in a holomorphic and Hamiltonian manner, and that the action linearizes to a positive holomo…
Polarized orbifolds associated to quantized Hamiltonian torus actions
Roberto Paoletti
Suppose given an holomorphic and Hamiltonian action of a compact torus on a polarized Hodge manifold . Assume that the action lifts to the quantizing line bundle, so that th…
Equivariant asymptotics of Szegö kernels under Hamiltonian -actions
Andrea Galasso
Let be complex projective manifold and a positive line bundle on it. Assume that a compact and connected Lie group acts on in a Hamiltonian and holomorphic manner a…
Conic reductions for Hamiltonian actions of and its maximal torus
Roberto Paoletti
Suppose given a Hamiltonian and holomorphic action of on a compact Kähler manifold , with nowhere vanishing moment map. Given an integral coadjoint orbit …
Equivariant Asymptotics of Szegö kernels under Hamiltonian -action
Andrea Galasso, Roberto Paoletti
Let be complex projective manifold, and a positive line bundle on it. Assume that acts on in a Hamiltonian manner, with nowhere vanishing moment map, and that t…
Equivariant Asymptotics of Szegö kernels under Hamiltonian actions
Andrea Galasso, Roberto Paoletti
Let be complex projective manifold, and a positive line bundle on it. Assume that a compact and connected Lie group acts on in a Hamiltonian manner, and that this a…
Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Töplitz quantization
Roberto Paoletti
Under certain hypothesis on the underlying classical Hamiltonian flow, we produce local scaling asymptotics in the semiclassical regime for a Berezin-Töplitz version of the Gutzwil…
Local trace formulae for commuting Hamiltonians in Töplitz quantization
Roberto Paoletti
Let be a quantizable compact Kähler manifold, with quantizing Hermitian line bundle , and associated Hardy space , where is the unit circle bundle. Given…
Equivariant local scaling asymptotics for smoothed Töplitz spectral projectors
Roberto Paoletti
Let be the unit circle bundle of a positive line bundle on a Hodge manifold. We study the local scaling asymptotics of the smoothed spectral projectors associated to a first or…
Local scaling asymptotics in phase space and time in Berezin-Toeplitz quantization
Roberto Paoletti
This paper deals with the local semiclassical asymptotics of a quantum evolution operator in the Berezin-Toeplitz scheme, when both time and phase space variables are subject to ap…
Lower order asymptotics for Szegö and Toeplitz kernels under Hamiltonian circle actions
Roberto Paoletti
We consider a natural variant of Berezin-Toeplitz quantization of compact Kähler manifolds, in the presence of a Hamiltonian circle action lifting to the quantizing line bundle. As…
Scaling asymptotics for quantized Hamiltonian flows
Roberto Paoletti
In recent years, the near diagonal asymptotics of the equivariant components of the Szegö kernel of a positive line bundle on a compact symplectic manifold have been studied extens…
Local trace formulae and scaling asymptotics in Toeplitz quantization, II
Roberto Paoletti
In the spectral theory of positive elliptic operators, an important role is played by certain smoothing kernels, related to the Fourier transform of the trace of a wave operator, w…
Asymptotics of Szegö kernels under Hamiltonian torus actions
Roberto Paoletti
Let be the circle bundle associated to a positive line bundle on a complex projective (or, more generally, compact symplectic) manifold. The Tian-Zelditch expansion on may…
A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
Roberto Paoletti
An important problem in geometric quantization is that of quantizing certain classes of Lagrangian submanifolds, so-called Bohr-Sommerfeld Lagrangian submanifolds, equipped with a…
Scaling limits for equivariant Szego kernels
Roberto Paoletti
Suppose that the compact and connected Lie group G acts holomorphically on the irreducible complex projective manifold M, and that the action linearizes to the Hermitian ample line…
Semiclassical almost isometry
Roberto Paoletti
Let M be a complex projective manifold, and L an Hermitian ample line bundle on it. A fundamental theorem of Gang Tian, reproved and strengthened by Zelditch, implies that the Khae…
Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
Marco Debernardi, Roberto Paoletti
Suppose given a complex projective manifold with a fixed Hodge form . The Bohr-Sommerfeld Lagrangian submanifolds of are the geometric counterpart to semi-classical…
The Szego kernel of a symplectic quotient
Roberto Paoletti
Suppose a compact Lie group acts on a polarized complex projective manifold (M,L). Under favorable circumstances, the Hilbert-Mumford quotient for the action of the complexified gr…
Moment maps and equivariant Szego kernels
Roberto Paoletti
Suppose given an Hamiltonian action of a compact semisimple Lie group on a polarized complex projective manifold . We study by means of microlocal techniques the local and g…
Szego Kernels and Finite Group Actions
Roberto Paoletti
In the context of almost complex quantization, a natural generalization of algebro-geometric linear series on a compact symplectic manifold has been proposed. Here we suppose given…